Divergences of the semiclassical \(S\)-matrix formula in irregular scattering

DOI10.1016/S0034-4877(97)84891-4zbMath0886.58116OpenAlexW2002556353MaRDI QIDQ1373574

Krzysztof Stefański, Hiroki Nakamura, Kiyohiko Someda

Publication date: 10 May 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)84891-4

zbMATH Keywords

convergence dimensionfractal iciclic structuresirregular inelastic scatteringsemiclassical S-matrix

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) (S)-matrix theory, etc. in quantum theory (81U20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Hausdorff and packing measures (28A78)

Cites Work

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• Bifurcation to chaotic scattering
• Correlations of periodic, area-preserving maps
• Correlation properties of dynamical chaos in Hamiltonian systems
• Chaotic scattering modelled by an inclined billiard
• Irregular scattering
• A simple model for chaotic scattering. II: Quantum mechanical theory
• A simple model for chaotic scattering. I: Classical theory
• Regular and stochastic motion
• Classical cross section for chaotic potential scattering
• Cantor set structures in the singularities of classical potential scattering
• Semiclassical quantization of multidimensional systems
• Semiclassical quantization of chaotic billiards: a scattering theory approach
• Random-matrix description of chaotic scattering: Semiclassical approach
• Fractal dimension in nonhyperbolic chaotic scattering
• Quantum manifestations of chaotic scattering

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